CAUTION What is the defining feature of exponential growth? a. The population is growing. b. The per capita growth rate is constant. c. The per capita growth rate increases rapidly over time. d. The per capita growth rate is very high.

Question

Want to see more full solutions like this?

Answer 1

Textbook Question

Chapter 51, Problem 1TYK

CAUTION What is the defining feature of exponential growth?

a. The population is growing.

b. The per capita growth rate is constant.

c. The per capita growth rate increases rapidly over time.

d. The per capita growth rate is very high.

Expert Solution & Answer

Summary Introduction

Introduction:

The type of growth where the population grows rapidly without any decline is called exponential growth. It is also the rate of change per unit time. The population size in the exponential growth does not limit the growth rate.

Answer to Problem 1TYK

Correct answer:

The defining feature would be that the per capita growth rate is constant. The per capita growth rate does not change during the exponential growth.

Explanation of Solution

Justification for the correct statement:

Option (b) is given that the per capita rate remains constant. During the exponential growth, the per capita growth rate is constant, unlike the logistic growth. It does not depend on the population size. Per capita growth rate if is higher, the population size increases gradually.

The per capita growth rate is given as the function of “N” (population size) and “t” (time interval) and is represented as r=dNdt, where “r” is per capita growth rate. The value of “r” is high if the increase in the population within a short interval of time is high. Thus, the large value of “r” indicates the increased population size. Hence, option (b) is correct.

Justification for the incorrect statements:

Option (a) is given that the population is growing. In the exponential growth rate, the population grows rapidly; however, it is not a defining feature. So, it is incorrect.

Option (c) is given that the population experiences high rates of predation. The increase in the size does not depend on the exponential growth. Even if the per capita rate is high, but constant, the larger population still tends to become larger rapidly when compared to the small population as the initial number of population is high. So, it is incorrect.

Option (d) is given that the per capita growth rate is quite high. Per capita growth rate does not increase rapidly and the growth rate is not very high. The growth occurs gradually. So, it is incorrect.

Hence, the options (a), (c), and (d) are incorrect.

Conclusion

Thus, the constant per capita growth rate of the populations serves as the defining feature of the exponential growth rate.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

Outline a method for using apomixis to maintain feminized CannabisAssume apomixis is controlled by a single dominant gene. You can choose the type of apomixis: obligate or facultative, gametophytic or sporophytic. Discuss advantages and disadvantages of your proposed method.

Kinetics: One-Compartment First-Order Absorption 1. In vivo testing provides valuable insight into a drug’s kinetics. Assessing drug kinetics following multiple routes of administration provides greater insight than a single route of administration alone. The following data was collected in 250-g rats following bolus IV, oral (PO), and intraperitoneal (ip) administration. Using this data and set of graphs, determine:(calculate for each variable) (a) k, C0, V, and AUC* for the bolus iv data (b) k, ka, B1, and AUC* for the po data c) k, ka, B1, and AUC* for the ip data (d) relative bioavailability for po vs ip, Fpo/Fip (e)absolute ip bioavailability, Fip (f) absolute po bioavailability, Fpo

3. A promising new drug is being evaluated in human trials. Based on preliminary human tests, this drug is most effective when plasma levels exceed 30 mg/L. Measurements from preliminary tests indicate the following human pharmacokinetic parameter values: t1/2,elim = 4.6hr, t1/2,abs = 0.34hr, VD = 0.29 L/kg, Foral = 72%. Based on these parameters, estimate the following if a 49 kg woman were to receive a 1000mg oral dose of this drug: (a) Estimate the plasma concentration of the drug at 1hr, 6 hr, and 20hr after taking the drug ( Concentration estimate) (b) Estimate the time for maximum plasma concentration (tmax). (c) Estimate the maximum plasma concentration (Cmax). (d) Estimate the time at which the plasma level first rises above 30 mg/L. (Note this is a trial and error problem where you must guess a time, plug it into the concentration equation, and determine if it is close to 30 mg/L. Hint: based on part (a) it should be apparent that the answer is less than 1hr.) (e)…

Answer 2

Textbook Question

Chapter 51, Problem 1TYK

CAUTION What is the defining feature of exponential growth?

a. The population is growing.

b. The per capita growth rate is constant.

c. The per capita growth rate increases rapidly over time.

d. The per capita growth rate is very high.

Expert Solution & Answer

Summary Introduction

Introduction:

The type of growth where the population grows rapidly without any decline is called exponential growth. It is also the rate of change per unit time. The population size in the exponential growth does not limit the growth rate.

Answer to Problem 1TYK

Correct answer:

The defining feature would be that the per capita growth rate is constant. The per capita growth rate does not change during the exponential growth.

Explanation of Solution

Justification for the correct statement:

Option (b) is given that the per capita rate remains constant. During the exponential growth, the per capita growth rate is constant, unlike the logistic growth. It does not depend on the population size. Per capita growth rate if is higher, the population size increases gradually.

The per capita growth rate is given as the function of “N” (population size) and “t” (time interval) and is represented as r=dNdt, where “r” is per capita growth rate. The value of “r” is high if the increase in the population within a short interval of time is high. Thus, the large value of “r” indicates the increased population size. Hence, option (b) is correct.

Justification for the incorrect statements:

Option (a) is given that the population is growing. In the exponential growth rate, the population grows rapidly; however, it is not a defining feature. So, it is incorrect.

Option (c) is given that the population experiences high rates of predation. The increase in the size does not depend on the exponential growth. Even if the per capita rate is high, but constant, the larger population still tends to become larger rapidly when compared to the small population as the initial number of population is high. So, it is incorrect.

Option (d) is given that the per capita growth rate is quite high. Per capita growth rate does not increase rapidly and the growth rate is not very high. The growth occurs gradually. So, it is incorrect.

Hence, the options (a), (c), and (d) are incorrect.

Conclusion

Thus, the constant per capita growth rate of the populations serves as the defining feature of the exponential growth rate.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Textbook Question

Chapter 51, Problem 1TYK

CAUTION What is the defining feature of exponential growth?

a. The population is growing.

b. The per capita growth rate is constant.

c. The per capita growth rate increases rapidly over time.

d. The per capita growth rate is very high.

Expert Solution & Answer

Summary Introduction

Introduction:

The type of growth where the population grows rapidly without any decline is called exponential growth. It is also the rate of change per unit time. The population size in the exponential growth does not limit the growth rate.

Answer to Problem 1TYK

Correct answer:

The defining feature would be that the per capita growth rate is constant. The per capita growth rate does not change during the exponential growth.

Explanation of Solution

Justification for the correct statement:

Option (b) is given that the per capita rate remains constant. During the exponential growth, the per capita growth rate is constant, unlike the logistic growth. It does not depend on the population size. Per capita growth rate if is higher, the population size increases gradually.

The per capita growth rate is given as the function of “N” (population size) and “t” (time interval) and is represented as r=dNdt, where “r” is per capita growth rate. The value of “r” is high if the increase in the population within a short interval of time is high. Thus, the large value of “r” indicates the increased population size. Hence, option (b) is correct.

Justification for the incorrect statements:

Option (a) is given that the population is growing. In the exponential growth rate, the population grows rapidly; however, it is not a defining feature. So, it is incorrect.

Option (c) is given that the population experiences high rates of predation. The increase in the size does not depend on the exponential growth. Even if the per capita rate is high, but constant, the larger population still tends to become larger rapidly when compared to the small population as the initial number of population is high. So, it is incorrect.

Option (d) is given that the per capita growth rate is quite high. Per capita growth rate does not increase rapidly and the growth rate is not very high. The growth occurs gradually. So, it is incorrect.

Hence, the options (a), (c), and (d) are incorrect.

Conclusion

Thus, the constant per capita growth rate of the populations serves as the defining feature of the exponential growth rate.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Textbook Question

Chapter 51, Problem 1TYK

CAUTION What is the defining feature of exponential growth?

a. The population is growing.

b. The per capita growth rate is constant.

c. The per capita growth rate increases rapidly over time.

d. The per capita growth rate is very high.

Expert Solution & Answer

Summary Introduction

Introduction:

The type of growth where the population grows rapidly without any decline is called exponential growth. It is also the rate of change per unit time. The population size in the exponential growth does not limit the growth rate.

Answer to Problem 1TYK

Correct answer:

The defining feature would be that the per capita growth rate is constant. The per capita growth rate does not change during the exponential growth.

Explanation of Solution

Justification for the correct statement:

Option (b) is given that the per capita rate remains constant. During the exponential growth, the per capita growth rate is constant, unlike the logistic growth. It does not depend on the population size. Per capita growth rate if is higher, the population size increases gradually.

The per capita growth rate is given as the function of “N” (population size) and “t” (time interval) and is represented as r=dNdt, where “r” is per capita growth rate. The value of “r” is high if the increase in the population within a short interval of time is high. Thus, the large value of “r” indicates the increased population size. Hence, option (b) is correct.

Justification for the incorrect statements:

Option (a) is given that the population is growing. In the exponential growth rate, the population grows rapidly; however, it is not a defining feature. So, it is incorrect.

Option (c) is given that the population experiences high rates of predation. The increase in the size does not depend on the exponential growth. Even if the per capita rate is high, but constant, the larger population still tends to become larger rapidly when compared to the small population as the initial number of population is high. So, it is incorrect.

Option (d) is given that the per capita growth rate is quite high. Per capita growth rate does not increase rapidly and the growth rate is not very high. The growth occurs gradually. So, it is incorrect.

Hence, the options (a), (c), and (d) are incorrect.

Conclusion

Thus, the constant per capita growth rate of the populations serves as the defining feature of the exponential growth rate.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

Summary Introduction

Introduction:

The type of growth where the population grows rapidly without any decline is called exponential growth. It is also the rate of change per unit time. The population size in the exponential growth does not limit the growth rate.

Answer to Problem 1TYK

Correct answer:

The defining feature would be that the per capita growth rate is constant. The per capita growth rate does not change during the exponential growth.

Explanation of Solution

Justification for the correct statement:

Option (b) is given that the per capita rate remains constant. During the exponential growth, the per capita growth rate is constant, unlike the logistic growth. It does not depend on the population size. Per capita growth rate if is higher, the population size increases gradually.

The per capita growth rate is given as the function of “N” (population size) and “t” (time interval) and is represented as r=dNdt, where “r” is per capita growth rate. The value of “r” is high if the increase in the population within a short interval of time is high. Thus, the large value of “r” indicates the increased population size. Hence, option (b) is correct.

Justification for the incorrect statements:

Option (a) is given that the population is growing. In the exponential growth rate, the population grows rapidly; however, it is not a defining feature. So, it is incorrect.

Option (c) is given that the population experiences high rates of predation. The increase in the size does not depend on the exponential growth. Even if the per capita rate is high, but constant, the larger population still tends to become larger rapidly when compared to the small population as the initial number of population is high. So, it is incorrect.

Option (d) is given that the per capita growth rate is quite high. Per capita growth rate does not increase rapidly and the growth rate is not very high. The growth occurs gradually. So, it is incorrect.

Hence, the options (a), (c), and (d) are incorrect.

Conclusion

Thus, the constant per capita growth rate of the populations serves as the defining feature of the exponential growth rate.

Answer 8

Expert Solution & Answer

Summary Introduction

Introduction:

The type of growth where the population grows rapidly without any decline is called exponential growth. It is also the rate of change per unit time. The population size in the exponential growth does not limit the growth rate.

Answer to Problem 1TYK

Correct answer:

The defining feature would be that the per capita growth rate is constant. The per capita growth rate does not change during the exponential growth.

Explanation of Solution

Justification for the correct statement:

Option (b) is given that the per capita rate remains constant. During the exponential growth, the per capita growth rate is constant, unlike the logistic growth. It does not depend on the population size. Per capita growth rate if is higher, the population size increases gradually.

The per capita growth rate is given as the function of “N” (population size) and “t” (time interval) and is represented as r=dNdt, where “r” is per capita growth rate. The value of “r” is high if the increase in the population within a short interval of time is high. Thus, the large value of “r” indicates the increased population size. Hence, option (b) is correct.

Justification for the incorrect statements:

Option (a) is given that the population is growing. In the exponential growth rate, the population grows rapidly; however, it is not a defining feature. So, it is incorrect.

Option (c) is given that the population experiences high rates of predation. The increase in the size does not depend on the exponential growth. Even if the per capita rate is high, but constant, the larger population still tends to become larger rapidly when compared to the small population as the initial number of population is high. So, it is incorrect.

Option (d) is given that the per capita growth rate is quite high. Per capita growth rate does not increase rapidly and the growth rate is not very high. The growth occurs gradually. So, it is incorrect.

Hence, the options (a), (c), and (d) are incorrect.

Conclusion

Thus, the constant per capita growth rate of the populations serves as the defining feature of the exponential growth rate.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Summary Introduction

Introduction:

The type of growth where the population grows rapidly without any decline is called exponential growth. It is also the rate of change per unit time. The population size in the exponential growth does not limit the growth rate.

Answer 12

Answer to Problem 1TYK

Correct answer:

The defining feature would be that the per capita growth rate is constant. The per capita growth rate does not change during the exponential growth.

Answer 13

Explanation of Solution

Justification for the correct statement:

Option (b) is given that the per capita rate remains constant. During the exponential growth, the per capita growth rate is constant, unlike the logistic growth. It does not depend on the population size. Per capita growth rate if is higher, the population size increases gradually.

The per capita growth rate is given as the function of “N” (population size) and “t” (time interval) and is represented as r=dNdt, where “r” is per capita growth rate. The value of “r” is high if the increase in the population within a short interval of time is high. Thus, the large value of “r” indicates the increased population size. Hence, option (b) is correct.

Justification for the incorrect statements:

Option (a) is given that the population is growing. In the exponential growth rate, the population grows rapidly; however, it is not a defining feature. So, it is incorrect.

Option (c) is given that the population experiences high rates of predation. The increase in the size does not depend on the exponential growth. Even if the per capita rate is high, but constant, the larger population still tends to become larger rapidly when compared to the small population as the initial number of population is high. So, it is incorrect.

Option (d) is given that the per capita growth rate is quite high. Per capita growth rate does not increase rapidly and the growth rate is not very high. The growth occurs gradually. So, it is incorrect.

Hence, the options (a), (c), and (d) are incorrect.